Consensus of discrete-time third-order multi-agent systems in directed networks

This paper studies the consensus of discrete-time third-order multi-agent systems in directed networks. By using algebraic graph theory and matrix theory, necessary and sufficient conditions for consensus of discrete-time third-order multi-agent systems are established. Compared with existing results, we focus on illustrating how scaling strengths and nonzero eigenvalues of the involved Laplacian matrix have an effect on consensus of the system. Finally, numerical simulations are given to illustrate the theoretical results.